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241311533454340 = 22561732939247573
BaseRepresentation
bin110110110111100010111000…
…001110110101010000000100
31011122102011020200010201010121
4312313202320032311100010
5223112122010031014330
62213120553231231324
7101554116516656236
oct6667427016652004
91148364220121117
10241311533454340
116a986712724558
1223093960378544
13a48577024486b
14438377d33c256
151cd71004e617a
hexdb78b83b5404

241311533454340 has 96 divisors (see below), whose sum is σ = 523899332734176. Its totient is φ = 93322057789440.

The previous prime is 241311533454323. The next prime is 241311533454371. The reversal of 241311533454340 is 43454335113142.

It can be written as a sum of positive squares in 16 ways, for example, as 45428220082116 + 195883313372224 = 6740046^2 + 13995832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21470794 + ... + 30718366.

It is an arithmetic number, because the mean of its divisors is an integer number (5457284715981).

Almost surely, 2241311533454340 is an apocalyptic number.

241311533454340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241311533454340 is an abundant number, since it is smaller than the sum of its proper divisors (282587799279836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241311533454340 is a wasteful number, since it uses less digits than its factorization.

241311533454340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248009 (or 9248007 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

Adding to 241311533454340 its reverse (43454335113142), we get a palindrome (284765868567482).

The spelling of 241311533454340 in words is "two hundred forty-one trillion, three hundred eleven billion, five hundred thirty-three million, four hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 73 122 146 244 292 293 305 365 586 610 730 1172 1220 1460 1465 2930 4453 5860 8906 17812 17873 21389 22265 35746 42778 44530 71492 85556 89060 89365 106945 178730 213890 357460 427780 1304729 2609458 5218916 6523645 9247573 13047290 18495146 26094580 36990292 46237865 92475730 184951460 564101953 675072829 1128203906 1350145658 2256407812 2700291316 2709538889 2820509765 3375364145 5419077778 5641019530 6750728290 10838155556 11282039060 13501456580 13547694445 27095388890 41179442569 54190777780 82358885138 164717770276 165281872229 197796338897 205897212845 330563744458 395592677794 411794425690 661127488916 791185355588 823588851380 826409361145 988981694485 1652818722290 1977963388970 3305637444580 3955926777940 12065576672717 24131153345434 48262306690868 60327883363585 120655766727170 241311533454340